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40131757180086 = 231113532233957493
BaseRepresentation
bin10010001111111111001110…
…01000011000010010110110
312021002120002011022020212020
421013333213020120102312
520230004314314230321
6221204135201534010
711311265232434055
oct1107774710302266
9167076064266766
1040131757180086
1111872867771650
124601978344306
131951540519110
149ca55d0b239c
15498dbbe7b4c6
hex247fe72184b6

40131757180086 has 128 divisors (see below), whose sum is σ = 96505612406784. Its totient is φ = 10964469035520.

The previous prime is 40131757180069. The next prime is 40131757180087. The reversal of 40131757180086 is 68008175713104.

It is a super-2 number, since 2×401317571800862 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131757180087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8161956 + ... + 12119448.

It is an arithmetic number, because the mean of its divisors is an integer number (753950096928).

Almost surely, 240131757180086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40131757180086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48252806203392).

40131757180086 is an abundant number, since it is smaller than the sum of its proper divisors (56373855226698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40131757180086 is a wasteful number, since it uses less digits than its factorization.

40131757180086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957798.

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 40131757180086 in words is "forty trillion, one hundred thirty-one billion, seven hundred fifty-seven million, one hundred eighty thousand, eighty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 53 66 78 106 143 159 223 286 318 429 446 583 669 689 858 1166 1338 1378 1749 2067 2453 2899 3498 4134 4906 5798 7359 7579 8697 11819 14718 15158 17394 22737 23638 31889 35457 45474 63778 70914 95667 130009 153647 191334 260018 307294 390027 460941 780054 921882 1690117 3380234 3957493 5070351 7914986 10140702 11872479 23744958 43532423 51447409 87064846 102894818 130597269 154342227 209747129 261194538 308684454 419494258 565921499 629241387 882520939 1131842998 1258482774 1697764497 1765041878 2307218419 2647562817 2726712677 3395528994 4614436838 5295125634 5453425354 6921655257 8180138031 9707730329 11472772207 13843310514 16360276062 19415460658 22945544414 29123190987 29993839447 34418316621 46773609767 58246381974 59987678894 68836633242 89981518341 93547219534 126200494277 140320829301 179963036682 252400988554 280641658602 378601482831 514509707437 608056926971 757202965662 1029019414874 1216113853942 1543529122311 1824170780913 3087058244622 3648341561826 6688626196681 13377252393362 20065878590043 40131757180086